18725760 has 96 divisors (see below), whose sum is σ = 64682280. Its totient is φ = 4992000.

The previous prime is 18725747. The next prime is 18725779. The reversal of 18725760 is 6752781.

18725760 is a `hidden beast` number, since 1 + 87 + 2 + 576 + 0 = 666.

It is a tau number, because it is divible by the number of its divisors (96).

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 4135 + ... + 7385.

Almost surely, 2^18725760 is an apocalyptic number.

18725760 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 18725760, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (32341140).

18725760 is an abundant number, since it is smaller than the sum of its proper divisors (45956520).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

18725760 is a wasteful number, since it uses less digits than its factorization.

18725760 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3276 (or 3261 counting only the distinct ones).

The product of its (nonzero) digits is 23520, while the sum is 36.

The square root of 18725760 is about 4327.3271195970. The cubic root of 18725760 is about 265.5501091755.

The spelling of 18725760 in words is "eighteen million, seven hundred twenty-five thousand, seven hundred sixty".